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Finding the Third Proportional to 158,366,729.81 and 331,213,039.88

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Solution

The third proportional to 158,366,729.81 and 331,213,039.88 is: 692,709,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,366,729.81 : 331,213,039.88 = 331,213,039.88 : x
  2. Step 2: Convert to fraction form
    158,366,729.81/331,213,039.88 = 331,213,039.88/x
  3. Step 3: Cross multiply
    158,366,729.81x = 331,213,039.88 × 331,213,039.88
  4. Step 4: Simplify right side
    158,366,729.81x = 109,702,077,783,238,336
  5. Step 5: Solve for x
    x = 109,702,077,783,238,336/158,366,729.81
  6. Step 6: Final answer
    x = 692,709,118.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.